Question

The kinetic energy of the object is partially equal to 3 times the momentum of the object. Find the velocity of the object.​

Answer 1

$\green{\texttt{Answer:-}}$

v = 6m/s

$\green{\texttt{Explanation:-}}$

Given:

K.E. of an object = 3 times of momentum

To Find:

velocity

Solution

$\boxed{\sf K.E. = \dfrac{1}{2}m{v}^{2}}$

$\boxed{\sf P= mv}$

According to the question

K.E. = 3p

$\sf \dfrac{1}{2}m{v}^{2} = 3mv$

$\sf \dfrac{1}{2}\cancel{m}{v}^{\cancel{2}} = 3\cancel{mv}$

$\sf \dfrac{1}{2}(v) = 3$

$\sf v = 6m{s}^{-1}$

Answer 2

$\large \bold{ \underline{ \underline{ \: Solution : \: \: \: }}}$

Given ,

Kinetic energy = 3 × momentum

So ,

$\to \frac{1}{2} m {v}^{2} = 3 \times mv \\ \\ \to m {v}^{2} = 6 \times mv \\ \\ \to \frac{m {v}^{2} }{mv} = 6 \\ \\ \to v = 6 \: \: m/s$

Hence , the velocity of the object is 6 m/s